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Finding the Fourth Proportional to 20,728, 31,091.86 and 5,936.97

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Solution

The fourth proportional to 20,728, 31,091.86 and 5,936.97 is: 8,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728 : 31,091.86 = 5,936.97 : x
  2. Step 2: Convert to fraction form
    20,728/31,091.86 = 5,936.97/x
  3. Step 3: Cross multiply
    20,728x = 31,091.86 × 5,936.97
  4. Step 4: Simplify right side
    20,728x = 184,591,440.06
  5. Step 5: Solve for x
    x = 184,591,440.06/20,728
  6. Step 6: Final answer
    x = 8,905.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.